!!! Just Published !!!

Proceedings of the

1996 Conference on Mathematical Modeling in theUndergraduate Curriculum


If you are now teaching a course on mathematical modeling or areinterested in incorporating modeling projects into your courses, youwill find this publication of unique interest (404 pages).


Keynote speakers:

Robert Borrelli, Harvey Mudd College, Claremont, CA

Maynard Thompson, Indiana University, Bloomington, IN

David Arney, United States Military Academy, West Point, NY

L. Richie King, Davison College, Davidson, NC


Order from:

Mathematics Department, University of Wisconsin-La Crosse, La Crosse, WI 54601

Please enclose $15 payment for each copy ordered.

Below is a list of titles, for further information, please send e-mail to skala@math.uwlax.edu


Table of Contents

Plenary Sessions

AuthorTitlePage
Robert L. BorrelliThe Role of Modeling in the Undergraduate Mathematics Curriculum 2
Maynard ThompsonWhy It Is Difficult for Groups to Decide How to Make a Decision12
David C. ArneyModeling in the First Two Years 29
L. R. KingModeling Global Change: Basic Energy Balance Climate Models 37

Presentations

AuthorTitlePage
Emad-Eldin A. A. Aly, Nadjib BouzarSemigroup Approach to Z+-Valued Autoregressive AR(1) Processes51
J. Robert BuchananAllometric Scaling in Pharmacokinetic Modeling58
Paul J. CampbellFinite Mathematics as Environmental Modeling67
Joanne C. CanigliaModeling with Technology: A Demonstration of the CBL81
Thomas A. CarnevaleModeling in General Education Mathematics Courses: A Spreadsheet Approach91
Lester F. Caudill, Jr.Modeling with Inverse Problems101
John B. Collings, David J. WollkindBistability in the May Predator-Prey Model107
Edward A. ConnorsUniversity of Massachusetts Amherst and the Mathematical Contest in Modeling: Recruiting the First Team119
Raghu R. GompaThe Maintenance Cost of a Prison122
Chaitan P. Gupta, Mark MeerschaertMathematical Modeling Experience for Teachers131
Peter HamburgerPlanar Graph Models in Geometry, Combinatorics, Logic and Undergraduate Teaching149
Robert J. HenningRunning Monte Carlo Simulations on the TI-85181
Jannett Highfill, Michael McAseyAn Optimal Control Model for Waste Management183
Ying Sue Huang, H. Westcott VayoDynamics of the T-Cell Homeostasis in HIV-Infection186
Pat KinneyFinances and Mathematical Modeling197
Larry E. KnopMathematical Modeling, Sex Education, Family Values, and Hamilton College207
David A. LambMulti-body Dynamics of Ground Vehicles217
Glenn LedderApplications of Differential Equations: Mathematical Models or Mathematical Modeling?225
Deborah P. LevinsonA Classroom Module: The Mathematics Behind Running a Faster Race237
Bruce N. LundbergSocial Sources of Modeling Problems for Undergraduates249
Donald K. MasonOn Monte Carlo Simulation in an Undergraduate Modeling Course259
Brian J. McCartin, Steve L. KrupaPropagation of Electromagnetic Waves by the Method of Lines265
Anne C. MorletTeaching a Mathematical Modeling Class: Two Different Experiences275
Libin MouOptimal Paths with Many Constraints288
Peh H. NgDiscrete Optimization Models289
Melvin A. NymanCollaboration, Data Analysis, Statistics and Modeling: The Interplay Between Practice and Teaching300
Robin A. PenningtonTeaching Differential Equations with Maple Projects302
Kathryn M. RadloffComparing Population Growth Models: A Calculus Project308
Morteza Shafii-MousaviA Modeling Approach in Teaching a Course in Partial Differential Equationsand Boundary Value Problems320
Michael S. SkaffDeveloping Modeling and Problem Solving Skills Using Regression Analysis326
Steven J. SmithInterdisciplinary Research Experiences for Undergraduates: Biological Modeling336
John StarwayErrors of the Model Based on the Cobb-Douglas Production Function337
Allan StruthersModel Verification through Simple Experiments346
James S. WalkerComputer Modeling of Wave Phenonmena358
Janice B. WalkerModeling in Differential Equations367
Tom WiggenQueueing Models: Analytical Solutions and Solutions by Simulation381
Yongzhi YangThe Random Walk: A Spectral Approach392